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Popular >

simplify 300ln(1000/2000)

Solution

simplify

300 ln (\frac{1000}{2000})

Solution

300 (3 ln (10) - ln (2000))

+1

Decimal Notation

- 207.94415 \dots

Solution steps

300 ln (\frac{1000}{2000})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1000}{2000}) = ln (1000) - ln (2000)

= 300 (ln (1000) - ln (2000))

ln (1000) = 3 ln (10)

= 300 (3 ln (10) - ln (2000))

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Frequently Asked Questions (FAQ)

What is 300ln(1000/2000) ?
The solution to 300ln(1000/2000) is 300(3ln(10)-ln(2000))